If the density of a small planet is the sa

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If the density of a small planet is the same as that of earth, while the radius of the planet is $0.2$ times that of the earth, the gravitational acceleration on the surface of that planet is .......... $g$

A

 $0.2$

B

$0.4$

C

$2$

D

$4$

If the density of a small planet is the same as that of earth, while the radius of the planet is $0.2$ times that of the earth, the gravitational acceleration on the surface of that planet is .......... $g$

$\;g = \frac{4}{3}\pi GR\rho $ and $g' = \frac{4}{3}\pi GR'\rho $

$\frac{{g'}}{g} = \frac{{R'}}{R} = 0.2$ $⇒$ $g' = 0.2\,g$